2101101120200 has 96 divisors (see below), whose sum is σ = 4935619089000. Its totient is φ = 831782922240.

The previous prime is 2101101120149. The next prime is 2101101120211. The reversal of 2101101120200 is 20211011012.

It can be written as a sum of positive squares in 12 ways, for example, as 462508036 + 2100638612164 = 21506^2 + 1449358^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8127332 + ... + 8381868.

Almost surely, 2^{2101101120200} is an apocalyptic number.

2101101120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101101120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467809544500).

2101101120200 is an abundant number, since it is smaller than the sum of its proper divisors (2834517968800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101101120200 is a wasteful number, since it uses less digits than its factorization.

2101101120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254979 (or 254970 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101101120200 its reverse (20211011012), we get a palindrome (2121312131212).

The spelling of 2101101120200 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twenty thousand, two hundred".